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Online ISSN 1552-4485; Print ISSN 0033-569X
Elastostatic boundary regiou problem in solid cylinders
Authors:
Robert Wm. Little and S. Bart Childs
Journal:
Quart. Appl. Math. 25 (1967), 261-274
DOI:
https://doi.org/10.1090/qam/99898
MathSciNet review:
QAM99898
Full-text PDF Free Access
References | Additional Information
- M. W. Johnson Jr. and R. W. Little, The semi-infinite elastic strip, Quart. Appl. Math. 22 (1965), 335–344. MR 187479, DOI https://doi.org/10.1090/S0033-569X-1965-0187479-3
- G. Horvay and J. A. Mirabal, The end problem of cylinders, J. Appl. Mech. 25 (1958), 561–570. MR 0102948 W. R. Hodgkins, A numerical solution of the end deformation problem of a cylinder, U. K. Atomic Energy Authority TRG Report 294 [4[ A. Mendelson and E. Roberts, Jr., The axisymmetric stress distribution in finite cylinders, 8th Mid-western Mechanics Conference, April 1963 F. H. Murray, Thermal stresses and strains in a finite cylinder with no surface forces, Atomic Energy Commission Paper No. 2966, 1945 D. Horvay, I. Giaver, and J. A. Mirabal, Thermal stresses in a heat-generating cylinder: the variational solution of a boundary layer problem in three-dimensional elasticity, Ingr. Arch XXVII, 179–194 (1959)
- C. K. Youngdahl and Eli Sternberg, Transient thermal stresses in a circular cylinder, J. Appl. Mech. 28 (1961), 25–34. MR 0118103
- A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851
- Gerald Pickett, Application of the Fourier method to the solution of certain boundary problems in the theory of elasticity, J. Appl. Mech. 11 (1944), A-176–A-182. MR 0010853
- M. I. Guseĭn-Zade, On the conditions of existence of decaying solutions of the two-dimensional problem of the theory of elasticity for a semi-infinite strip, J. Appl. Math. Mech. 29 (1965), 447–454 (1966). MR 0195310, DOI https://doi.org/10.1016/0021-8928%2865%2990053-5 P. F. Papkovich, On one form of solution of the plane problem of the theory of elasticity for the rectangular strip, Dokl. Akad. Nauk. SSSR, (4) 27, (1940)
- V. K. Prokopov, On the relation of the generalized orthogonality of P. F. Papkovich for rectangular plates, J. Appl. Math. Mech. 28 (1964), 428–433. MR 0178622, DOI https://doi.org/10.1016/0021-8928%2864%2990175-3
Additional Information
Article copyright:
© Copyright 1967
American Mathematical Society